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1054100135500 = 225319157970271
BaseRepresentation
bin11110101011011010100…
…00111001111001001100
310201202211001101001122021
433111231100321321030
5114232244113314000
62124125200055524
7136104404213416
oct17255520717114
93652731331567
101054100135500
11377050056485
121503600045a4
137852a61a339
14390395159b6
151c64606111a
hexf56d439e4c

1054100135500 has 96 divisors (see below), whose sum is σ = 2424889958400. Its totient is φ = 399189816000.

The previous prime is 1054100135461. The next prime is 1054100135531. The reversal of 1054100135500 is 55310014501.

It is a happy number.

It is a super-2 number, since 2×10541001355002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14965365 + ... + 15035635.

It is an arithmetic number, because the mean of its divisors is an integer number (25259270400).

Almost surely, 21054100135500 is an apocalyptic number.

1054100135500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054100135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212444979200).

1054100135500 is an abundant number, since it is smaller than the sum of its proper divisors (1370789822900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054100135500 is a wasteful number, since it uses less digits than its factorization.

1054100135500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71888 (or 71876 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 1054100135500 in words is "one trillion, fifty-four billion, one hundred million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 950 1579 1900 2375 3158 4750 6316 7895 9500 15790 30001 31580 39475 60002 70271 78950 120004 140542 150005 157900 197375 281084 300010 351355 394750 600020 702710 750025 789500 1335149 1405420 1500050 1756775 2670298 3000100 3513550 3750125 5340596 6675745 7027100 7500250 8783875 13351490 15000500 17567750 26702980 33378725 35135500 66757450 110957909 133514900 166893625 221915818 333787250 443831636 554789545 667574500 1109579090 2108200271 2219158180 2773947725 4216400542 5547895450 8432801084 10541001355 11095790900 13869738625 21082002710 27739477250 42164005420 52705006775 55478954500 105410013550 210820027100 263525033875 527050067750 1054100135500